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Finding the Third Proportional to 23,189.63 and 49,658.63

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Solution

The third proportional to 23,189.63 and 49,658.63 is: 106,339.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,189.63 : 49,658.63 = 49,658.63 : x
  2. Step 2: Convert to fraction form
    23,189.63/49,658.63 = 49,658.63/x
  3. Step 3: Cross multiply
    23,189.63x = 49,658.63 × 49,658.63
  4. Step 4: Simplify right side
    23,189.63x = 2,465,979,036.89
  5. Step 5: Solve for x
    x = 2,465,979,036.89/23,189.63
  6. Step 6: Final answer
    x = 106,339.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.